%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : SET979+1 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n022.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Tue Jul 19 02:49:34 EDT 2022 % Result : Theorem 0.21s 0.36s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.13 % Problem : SET979+1 : TPTP v8.1.0. Released v3.2.0. % 0.04/0.14 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.14/0.35 % Computer : n022.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 600 % 0.14/0.35 % DateTime : Sat Jul 9 21:09:25 EDT 2022 % 0.14/0.36 % CPUTime : % 0.21/0.36 % SZS status Theorem % 0.21/0.36 % SZS output begin IncompleteProof % 0.21/0.36 cnf(c0, axiom, % 0.21/0.36 set_union2(cartesian_product2(sK4,singleton(sK2)),cartesian_product2(sK4,singleton(sK3))) != cartesian_product2(sK4,set_union2(singleton(sK2),singleton(sK3))) | set_union2(cartesian_product2(singleton(sK2),sK4),cartesian_product2(singleton(sK3),sK4)) != cartesian_product2(set_union2(singleton(sK2),singleton(sK3)),sK4)). % 0.21/0.36 cnf(c1, plain, % 0.21/0.36 set_union2(cartesian_product2(sK4,singleton(sK2)),cartesian_product2(sK4,singleton(sK3))) != cartesian_product2(sK4,set_union2(singleton(sK2),singleton(sK3))) | set_union2(cartesian_product2(singleton(sK2),sK4),cartesian_product2(singleton(sK3),sK4)) != cartesian_product2(set_union2(singleton(sK2),singleton(sK3)),sK4), % 0.21/0.36 inference(start, [], [c0])). % 0.21/0.36 % 0.21/0.36 cnf(c2, axiom, % 0.21/0.36 cartesian_product2(X0,set_union2(X1,X2)) = set_union2(cartesian_product2(X0,X1),cartesian_product2(X0,X2))). % 0.21/0.36 cnf(a0, assumption, % 0.21/0.36 cartesian_product2(sK4,set_union2(singleton(sK2),singleton(sK3))) = cartesian_product2(X0,set_union2(X1,X2))). % 0.21/0.36 cnf(c3, plain, % 0.21/0.36 set_union2(cartesian_product2(singleton(sK2),sK4),cartesian_product2(singleton(sK3),sK4)) != cartesian_product2(set_union2(singleton(sK2),singleton(sK3)),sK4), % 0.21/0.36 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 0.21/0.36 cnf(c4, plain, % 0.21/0.36 $false, % 0.21/0.36 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 0.21/0.36 cnf(c5, plain, % 0.21/0.36 X3 != set_union2(cartesian_product2(X0,X1),cartesian_product2(X0,X2)) | set_union2(cartesian_product2(sK4,singleton(sK2)),cartesian_product2(sK4,singleton(sK3))) != X3, % 0.21/0.36 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 0.21/0.36 % 0.21/0.36 cnf(a1, assumption, % 0.21/0.36 X3 = set_union2(cartesian_product2(X0,X1),cartesian_product2(X0,X2))). % 0.21/0.36 cnf(c6, plain, % 0.21/0.36 set_union2(cartesian_product2(sK4,singleton(sK2)),cartesian_product2(sK4,singleton(sK3))) != X3, % 0.21/0.36 inference(reflexivity, [assumptions([a1])], [c5])). % 0.21/0.36 % 0.21/0.36 cnf(a2, assumption, % 0.21/0.36 set_union2(cartesian_product2(sK4,singleton(sK2)),cartesian_product2(sK4,singleton(sK3))) = X3). % 0.21/0.36 cnf(c7, plain, % 0.21/0.36 $false, % 0.21/0.36 inference(reflexivity, [assumptions([a2])], [c6])). % 0.21/0.36 % 0.21/0.36 cnf(c8, axiom, % 0.21/0.36 cartesian_product2(set_union2(X4,X5),X6) = set_union2(cartesian_product2(X4,X6),cartesian_product2(X5,X6))). % 0.21/0.36 cnf(a3, assumption, % 0.21/0.36 cartesian_product2(set_union2(singleton(sK2),singleton(sK3)),sK4) = cartesian_product2(set_union2(X4,X5),X6)). % 0.21/0.36 cnf(c9, plain, % 0.21/0.36 $false, % 0.21/0.36 inference(strict_function_extension, [assumptions([a3])], [c3, c8])). % 0.21/0.36 cnf(c10, plain, % 0.21/0.36 $false, % 0.21/0.36 inference(strict_function_extension, [assumptions([a3])], [c3, c8])). % 0.21/0.36 cnf(c11, plain, % 0.21/0.36 X7 != set_union2(cartesian_product2(X4,X6),cartesian_product2(X5,X6)) | set_union2(cartesian_product2(singleton(sK2),sK4),cartesian_product2(singleton(sK3),sK4)) != X7, % 0.21/0.36 inference(strict_function_extension, [assumptions([a3])], [c3, c8])). % 0.21/0.36 % 0.21/0.36 cnf(a4, assumption, % 0.21/0.36 X7 = set_union2(cartesian_product2(X4,X6),cartesian_product2(X5,X6))). % 0.21/0.36 cnf(c12, plain, % 0.21/0.36 set_union2(cartesian_product2(singleton(sK2),sK4),cartesian_product2(singleton(sK3),sK4)) != X7, % 0.21/0.36 inference(reflexivity, [assumptions([a4])], [c11])). % 0.21/0.36 % 0.21/0.36 cnf(a5, assumption, % 0.21/0.36 set_union2(cartesian_product2(singleton(sK2),sK4),cartesian_product2(singleton(sK3),sK4)) = X7). % 0.21/0.36 cnf(c13, plain, % 0.21/0.36 $false, % 0.21/0.36 inference(reflexivity, [assumptions([a5])], [c12])). % 0.21/0.36 % 0.21/0.36 cnf(c14, plain, % 0.21/0.36 $false, % 0.21/0.36 inference(constraint_solving, [ % 0.21/0.36 bind(X0, sK4), % 0.21/0.36 bind(X1, singleton(sK2)), % 0.21/0.36 bind(X2, singleton(sK3)), % 0.21/0.36 bind(X3, set_union2(cartesian_product2(X0,X1),cartesian_product2(X0,X2))), % 0.21/0.36 bind(X4, singleton(sK2)), % 0.21/0.36 bind(X5, singleton(sK3)), % 0.21/0.36 bind(X6, sK4), % 0.21/0.36 bind(X7, set_union2(cartesian_product2(X4,X6),cartesian_product2(X5,X6))) % 0.21/0.36 ], % 0.21/0.36 [a0, a1, a2, a3, a4, a5])). % 0.21/0.36 % 0.21/0.36 % SZS output end IncompleteProof %------------------------------------------------------------------------------